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Finding the Fourth Proportional to 37,718.32, 56,554.16 and 12,756

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Solution

The fourth proportional to 37,718.32, 56,554.16 and 12,756 is: 19,126.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,718.32 : 56,554.16 = 12,756 : x
  2. Step 2: Convert to fraction form
    37,718.32/56,554.16 = 12,756/x
  3. Step 3: Cross multiply
    37,718.32x = 56,554.16 × 12,756
  4. Step 4: Simplify right side
    37,718.32x = 721,404,864.96
  5. Step 5: Solve for x
    x = 721,404,864.96/37,718.32
  6. Step 6: Final answer
    x = 19,126.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.